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Finding the Fourth Proportional to 2,849.18, 4,273.46 and 769.38

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Solution

The fourth proportional to 2,849.18, 4,273.46 and 769.38 is: 1,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.18 : 4,273.46 = 769.38 : x
  2. Step 2: Convert to fraction form
    2,849.18/4,273.46 = 769.38/x
  3. Step 3: Cross multiply
    2,849.18x = 4,273.46 × 769.38
  4. Step 4: Simplify right side
    2,849.18x = 3,287,914.65
  5. Step 5: Solve for x
    x = 3,287,914.65/2,849.18
  6. Step 6: Final answer
    x = 1,153.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.